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Byju's Answer
Standard XII
Mathematics
Rank of a Matrix
The number of...
Question
The number of solution of the pair of equations 2sin$-cos2$=0 , 2cos$-3sin$=0 in the interval [0,360] is _______ 1) 0 2) 1 3) 2 4) 4
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Similar questions
Q.
Find the number of solutions of the equation
(
1
−
2
c
o
s
θ
)
2
+
(
t
a
n
θ
+
√
3
)
2
=
0
in interval
[
0
,
2
π
]
Q.
Assertion :The number of solutions of the pair of equations
2
sin
2
θ
−
cos
2
θ
=
2
cos
2
θ
−
3
sin
θ
=
0
in the interval [0, 2
π
] is two. Reason: If
2
cos
2
θ
−
3
sin
θ
=
0
, then
θ
can not lie in III or IV quadrant.
Q.
The equation
4
sin
2
x
+
4
sin
x
+
a
2
−
3
=
0
passesses a solution if
′
a
′
belongs to the interval
Q.
The least value of '
a
' for which equation
4
sin
x
+
1
1
−
sin
x
=
a
has at least one solution in the interval
[
0
,
π
2
]
is
Q.
The number of solution of equation
2
sin
2
x
+
sin
x
(
1
−
2
cos
2
x
)
−
4
=
0
in the interval
(
0
,
π
) is -
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